title: A state dependent pulse control strategy for a SIRS epidemic system.
abstract: With the consideration of mechanism of prevention and control for the spread of infectious diseases, we propose, in this paper, a state dependent pulse vaccination and medication control strategy for a SIRS type epidemic dynamic system. The sufficient conditions on the existence and orbital stability of positive order-1 or order-2 periodic solution are presented. Numerical simulations are carried out to illustrate the main results and compare numerically the state dependent vaccination strategy and the fixed time pulse vaccination strategy.
authors.affiliation: College of Mathematics and Systems Science, Xinjiang University, Urumqi, 830046, P.R. China, lfnie@163.com.
authors.forename: Lin-Fei
authors.initials: LF
authors.lastname: Nie
authors.forename: Zhi-Dong
authors.initials: ZD
authors.lastname: Teng
authors.forename: Bao-Zhu
authors.initials: BZ
authors.lastname: Guo
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology*; D019295:Computational Biology; D003198:Computer Simulation; D058872:Epidemics / Q000517:prevention & control* / Q000706:statistics & numerical data; D006801:Humans; D017053:Infection Control / Q000706:statistics & numerical data; D055641:Mathematical Concepts; D008954:Models, Biological; D014611:Vaccination / Q000706:statistics & numerical data